Welcome to roadstat.com on July 5 2009.
This is an internet experiment running to monitor browsing habbits of individuals through wikipedia contents.

Domain relational calculus

From Wikipedia, the free encyclopedia

Jump to: navigation, search

In computer science, domain relational calculus (DRC) is a calculus that was introduced by Michel Lacroix and Alain Pirotte as a declarative database query language for the relational data model.[1]

In DRC, queries have the form:

 {\langle X1, X2, ...., Xn\rangle | p(\langle X1, X2, ...., Xn\rangle) }

where each Xi is either a domain variable or constant, and p(<X1, X2, ...., Xn>) denotes a DRC formula. The result of the query is the set of tuples Xi to Xn which makes the DRC formula true.

This language uses the same operators as tuple calculus, the logical connectives ∧ (and), ∨ (or) and ¬ (not). The existential quantifier (∃) and the universal quantifier (∀) can be used to bind the variables.

Its computational expresivity is equivalent to that of Relational algebra.[2]

[edit] Examples

Let A, B, C mean Rank, Name, ID and D, E, F to mean Name, DeptName, ID

Find all captains of the starship USS Enterprise:

\left\{ \ {\left\langle A, B, C \right\rangle} \ | \ {\left\langle A, B, C \right\rangle \in \mathrm{Enterprise} \ \land \ A = \mathrm{Captain} } \ \right\}

In this example, A, B, C denotes both the result set and a set in the table Enterprise.

Find Names of Enterprise crewmembers who are in Stellar Cartography:


\begin{align}
{\left\langle B \right\rangle} \ & | \ {\exists A, C \ \left\langle A, B, C \right\rangle \in \mathrm{Enterprise} } \\
                               & \land \ {\exists D, E, F \ \left\langle D, E, F \right\rangle \in \mathrm{Departments} } \\
                               & \land \ F = C \ \land \ E = \mathrm{Stellar \ Cartography} \\
\end{align}

In this example, we're only looking for the name, and that's B. F = C is a requirement, because we need to find Enterprise crew members AND they are in the Stellar Cartography Department.

An alternate representation of the previous example would be:

\left\{ \ {\left\langle B \right\rangle} \ | \ {\exists A, C \ \left\langle A, B, C \right\rangle \in \mathrm{Enterprise} } \ \land \ {\exists D \ \left\langle D, \mathrm{Stellar \ Cartography}, C \right\rangle \in \mathrm{Departments} } \ \right\}

In this example, the value of the requested F domain is directly placed in the formula and the C domain variable is re-used in the query for the existence of a department, since it already holds a crew member's id.

[edit] See also

[edit] References

  1. ^ Michel Lacroix, Alain Pirotte: Domain-Oriented Relational Languages. VLDB 1977: 370-378
  2. ^ E. F. Codd: Relational Completeness of Data Base Sub-languages. In R. Rustin, editor, Data Base Systems. Prentice Hall, 1972
Personal tools
Languages

Visit joltnews for the latest headlines
Visit bloit.com for company information
Geed Media does computer consulting on long island.
This page viewed times. See Logs